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Elliptic curves and their applications to cryptography
Toni Boban (2017)
University of Split
University of Split, Faculty of science
Department of Mathematics
Cite this document...

Boban, T. (2017). Eliptičke krivulje i njihova primjena u kriptografiji (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:150837

Boban, Toni. "Eliptičke krivulje i njihova primjena u kriptografiji." Master's thesis, University of Split, University of Split, Faculty of science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:150837

Boban, Toni. "Eliptičke krivulje i njihova primjena u kriptografiji." Master's thesis, University of Split, University of Split, Faculty of science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:150837

Boban, T. (2017). 'Eliptičke krivulje i njihova primjena u kriptografiji', Master's thesis, University of Split, University of Split, Faculty of science, accessed 22 March 2019, https://urn.nsk.hr/urn:nbn:hr:166:150837

Boban T. Eliptičke krivulje i njihova primjena u kriptografiji [Master's thesis]. Split: University of Split, University of Split, Faculty of science; 2017 [cited 2019 March 22] Available at: https://urn.nsk.hr/urn:nbn:hr:166:150837

T. Boban, "Eliptičke krivulje i njihova primjena u kriptografiji", Master's thesis, University of Split, University of Split, Faculty of science, Split, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:166:150837

Metadata
TitleEliptičke krivulje i njihova primjena u kriptografiji
Title (english)Elliptic curves and their applications to cryptography
AuthorToni Boban
MentorBorka Jadrijević (mentor)
Committee memberBorka Jadrijević (predsjednik povjerenstva)
Committee memberJoško Mandić (član povjerenstva)
Committee memberMarija Bliznac Trebješanin (član povjerenstva)
GranterUniversity of Split
University of Split, Faculty of science
(Department of Mathematics)
Split
Defense date and country2017-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu definiramo eliptičke krivulje i grupovni zakon na njima. Posebno se bavimo dokazom asocijativnosti u toj grupi. Proučavamo i primjenu eliptičkih krivulja u kriptografiji. Opisane su metode za rješavanje problema diskretnog logaritma u grupi eliptičke krivulje nad konačnim poljem. Također, pokazujemo kako se eliptičke krivulje koriste kod rješavanja problema faktorizacije i dokazivanja prostosti prirodnih brojeva.
Abstract (english)
In this master’s thesis we define elliptic curves and the elliptic curve group law. Especially, we deal with the proof of associativity in this group. We also study application of elliptic curves in cryptography. We describe methods for solving the discrete logarithm problem on elliptic curves over finite fields. Furthermore, we show how to use elliptic curves for solving problems of integer factorization and primality testing.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:150837
Study programmeTitle: Matematika; smjerovi: teorijski, računarski, nastavnički
Study programme type: sveučilišni
Study level: diplomski
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourcetext
File originBorn digital
Access conditionsRestricted access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2018-05-18 16:09:27